
(FPCore (x y z) :precision binary64 (- (+ x (cos y)) (* z (sin y))))
double code(double x, double y, double z) {
return (x + cos(y)) - (z * sin(y));
}
real(8) function code(x, y, z)
real(8), intent (in) :: x
real(8), intent (in) :: y
real(8), intent (in) :: z
code = (x + cos(y)) - (z * sin(y))
end function
public static double code(double x, double y, double z) {
return (x + Math.cos(y)) - (z * Math.sin(y));
}
def code(x, y, z): return (x + math.cos(y)) - (z * math.sin(y))
function code(x, y, z) return Float64(Float64(x + cos(y)) - Float64(z * sin(y))) end
function tmp = code(x, y, z) tmp = (x + cos(y)) - (z * sin(y)); end
code[x_, y_, z_] := N[(N[(x + N[Cos[y], $MachinePrecision]), $MachinePrecision] - N[(z * N[Sin[y], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
\begin{array}{l}
\\
\left(x + \cos y\right) - z \cdot \sin y
\end{array}
Sampling outcomes in binary64 precision:
Herbie found 9 alternatives:
| Alternative | Accuracy | Speedup |
|---|
(FPCore (x y z) :precision binary64 (- (+ x (cos y)) (* z (sin y))))
double code(double x, double y, double z) {
return (x + cos(y)) - (z * sin(y));
}
real(8) function code(x, y, z)
real(8), intent (in) :: x
real(8), intent (in) :: y
real(8), intent (in) :: z
code = (x + cos(y)) - (z * sin(y))
end function
public static double code(double x, double y, double z) {
return (x + Math.cos(y)) - (z * Math.sin(y));
}
def code(x, y, z): return (x + math.cos(y)) - (z * math.sin(y))
function code(x, y, z) return Float64(Float64(x + cos(y)) - Float64(z * sin(y))) end
function tmp = code(x, y, z) tmp = (x + cos(y)) - (z * sin(y)); end
code[x_, y_, z_] := N[(N[(x + N[Cos[y], $MachinePrecision]), $MachinePrecision] - N[(z * N[Sin[y], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
\begin{array}{l}
\\
\left(x + \cos y\right) - z \cdot \sin y
\end{array}
(FPCore (x y z) :precision binary64 (+ x (- (cos y) (* z (sin y)))))
double code(double x, double y, double z) {
return x + (cos(y) - (z * sin(y)));
}
real(8) function code(x, y, z)
real(8), intent (in) :: x
real(8), intent (in) :: y
real(8), intent (in) :: z
code = x + (cos(y) - (z * sin(y)))
end function
public static double code(double x, double y, double z) {
return x + (Math.cos(y) - (z * Math.sin(y)));
}
def code(x, y, z): return x + (math.cos(y) - (z * math.sin(y)))
function code(x, y, z) return Float64(x + Float64(cos(y) - Float64(z * sin(y)))) end
function tmp = code(x, y, z) tmp = x + (cos(y) - (z * sin(y))); end
code[x_, y_, z_] := N[(x + N[(N[Cos[y], $MachinePrecision] - N[(z * N[Sin[y], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
\begin{array}{l}
\\
x + \left(\cos y - z \cdot \sin y\right)
\end{array}
(FPCore (x y z) :precision binary64 (if (or (<= z -5.2e+22) (not (<= z 115.0))) (- x (* z (sin y))) (+ x (cos y))))
double code(double x, double y, double z) {
double tmp;
if ((z <= -5.2e+22) || !(z <= 115.0)) {
tmp = x - (z * sin(y));
} else {
tmp = x + cos(y);
}
return tmp;
}
real(8) function code(x, y, z)
real(8), intent (in) :: x
real(8), intent (in) :: y
real(8), intent (in) :: z
real(8) :: tmp
if ((z <= (-5.2d+22)) .or. (.not. (z <= 115.0d0))) then
tmp = x - (z * sin(y))
else
tmp = x + cos(y)
end if
code = tmp
end function
public static double code(double x, double y, double z) {
double tmp;
if ((z <= -5.2e+22) || !(z <= 115.0)) {
tmp = x - (z * Math.sin(y));
} else {
tmp = x + Math.cos(y);
}
return tmp;
}
def code(x, y, z): tmp = 0 if (z <= -5.2e+22) or not (z <= 115.0): tmp = x - (z * math.sin(y)) else: tmp = x + math.cos(y) return tmp
function code(x, y, z) tmp = 0.0 if ((z <= -5.2e+22) || !(z <= 115.0)) tmp = Float64(x - Float64(z * sin(y))); else tmp = Float64(x + cos(y)); end return tmp end
function tmp_2 = code(x, y, z) tmp = 0.0; if ((z <= -5.2e+22) || ~((z <= 115.0))) tmp = x - (z * sin(y)); else tmp = x + cos(y); end tmp_2 = tmp; end
code[x_, y_, z_] := If[Or[LessEqual[z, -5.2e+22], N[Not[LessEqual[z, 115.0]], $MachinePrecision]], N[(x - N[(z * N[Sin[y], $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(x + N[Cos[y], $MachinePrecision]), $MachinePrecision]]
\begin{array}{l}
\\
\begin{array}{l}
\mathbf{if}\;z \leq -5.2 \cdot 10^{+22} \lor \neg \left(z \leq 115\right):\\
\;\;\;\;x - z \cdot \sin y\\
\mathbf{else}:\\
\;\;\;\;x + \cos y\\
\end{array}
\end{array}
(FPCore (x y z) :precision binary64 (if (or (<= y -0.104) (not (<= y 26000.0))) (+ x (cos y)) (+ x (+ 1.0 (* y (- (* y -0.5) z))))))
double code(double x, double y, double z) {
double tmp;
if ((y <= -0.104) || !(y <= 26000.0)) {
tmp = x + cos(y);
} else {
tmp = x + (1.0 + (y * ((y * -0.5) - z)));
}
return tmp;
}
real(8) function code(x, y, z)
real(8), intent (in) :: x
real(8), intent (in) :: y
real(8), intent (in) :: z
real(8) :: tmp
if ((y <= (-0.104d0)) .or. (.not. (y <= 26000.0d0))) then
tmp = x + cos(y)
else
tmp = x + (1.0d0 + (y * ((y * (-0.5d0)) - z)))
end if
code = tmp
end function
public static double code(double x, double y, double z) {
double tmp;
if ((y <= -0.104) || !(y <= 26000.0)) {
tmp = x + Math.cos(y);
} else {
tmp = x + (1.0 + (y * ((y * -0.5) - z)));
}
return tmp;
}
def code(x, y, z): tmp = 0 if (y <= -0.104) or not (y <= 26000.0): tmp = x + math.cos(y) else: tmp = x + (1.0 + (y * ((y * -0.5) - z))) return tmp
function code(x, y, z) tmp = 0.0 if ((y <= -0.104) || !(y <= 26000.0)) tmp = Float64(x + cos(y)); else tmp = Float64(x + Float64(1.0 + Float64(y * Float64(Float64(y * -0.5) - z)))); end return tmp end
function tmp_2 = code(x, y, z) tmp = 0.0; if ((y <= -0.104) || ~((y <= 26000.0))) tmp = x + cos(y); else tmp = x + (1.0 + (y * ((y * -0.5) - z))); end tmp_2 = tmp; end
code[x_, y_, z_] := If[Or[LessEqual[y, -0.104], N[Not[LessEqual[y, 26000.0]], $MachinePrecision]], N[(x + N[Cos[y], $MachinePrecision]), $MachinePrecision], N[(x + N[(1.0 + N[(y * N[(N[(y * -0.5), $MachinePrecision] - z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]
\begin{array}{l}
\\
\begin{array}{l}
\mathbf{if}\;y \leq -0.104 \lor \neg \left(y \leq 26000\right):\\
\;\;\;\;x + \cos y\\
\mathbf{else}:\\
\;\;\;\;x + \left(1 + y \cdot \left(y \cdot -0.5 - z\right)\right)\\
\end{array}
\end{array}
(FPCore (x y z) :precision binary64 (if (or (<= y -10200000.0) (not (<= y 35000000000.0))) (+ x 1.0) (+ x (+ 1.0 (* y (- (* y -0.5) z))))))
double code(double x, double y, double z) {
double tmp;
if ((y <= -10200000.0) || !(y <= 35000000000.0)) {
tmp = x + 1.0;
} else {
tmp = x + (1.0 + (y * ((y * -0.5) - z)));
}
return tmp;
}
real(8) function code(x, y, z)
real(8), intent (in) :: x
real(8), intent (in) :: y
real(8), intent (in) :: z
real(8) :: tmp
if ((y <= (-10200000.0d0)) .or. (.not. (y <= 35000000000.0d0))) then
tmp = x + 1.0d0
else
tmp = x + (1.0d0 + (y * ((y * (-0.5d0)) - z)))
end if
code = tmp
end function
public static double code(double x, double y, double z) {
double tmp;
if ((y <= -10200000.0) || !(y <= 35000000000.0)) {
tmp = x + 1.0;
} else {
tmp = x + (1.0 + (y * ((y * -0.5) - z)));
}
return tmp;
}
def code(x, y, z): tmp = 0 if (y <= -10200000.0) or not (y <= 35000000000.0): tmp = x + 1.0 else: tmp = x + (1.0 + (y * ((y * -0.5) - z))) return tmp
function code(x, y, z) tmp = 0.0 if ((y <= -10200000.0) || !(y <= 35000000000.0)) tmp = Float64(x + 1.0); else tmp = Float64(x + Float64(1.0 + Float64(y * Float64(Float64(y * -0.5) - z)))); end return tmp end
function tmp_2 = code(x, y, z) tmp = 0.0; if ((y <= -10200000.0) || ~((y <= 35000000000.0))) tmp = x + 1.0; else tmp = x + (1.0 + (y * ((y * -0.5) - z))); end tmp_2 = tmp; end
code[x_, y_, z_] := If[Or[LessEqual[y, -10200000.0], N[Not[LessEqual[y, 35000000000.0]], $MachinePrecision]], N[(x + 1.0), $MachinePrecision], N[(x + N[(1.0 + N[(y * N[(N[(y * -0.5), $MachinePrecision] - z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]
\begin{array}{l}
\\
\begin{array}{l}
\mathbf{if}\;y \leq -10200000 \lor \neg \left(y \leq 35000000000\right):\\
\;\;\;\;x + 1\\
\mathbf{else}:\\
\;\;\;\;x + \left(1 + y \cdot \left(y \cdot -0.5 - z\right)\right)\\
\end{array}
\end{array}
(FPCore (x y z) :precision binary64 (if (or (<= y -1.6e+35) (not (<= y 58000000.0))) (+ x 1.0) (+ 1.0 (- x (* y z)))))
double code(double x, double y, double z) {
double tmp;
if ((y <= -1.6e+35) || !(y <= 58000000.0)) {
tmp = x + 1.0;
} else {
tmp = 1.0 + (x - (y * z));
}
return tmp;
}
real(8) function code(x, y, z)
real(8), intent (in) :: x
real(8), intent (in) :: y
real(8), intent (in) :: z
real(8) :: tmp
if ((y <= (-1.6d+35)) .or. (.not. (y <= 58000000.0d0))) then
tmp = x + 1.0d0
else
tmp = 1.0d0 + (x - (y * z))
end if
code = tmp
end function
public static double code(double x, double y, double z) {
double tmp;
if ((y <= -1.6e+35) || !(y <= 58000000.0)) {
tmp = x + 1.0;
} else {
tmp = 1.0 + (x - (y * z));
}
return tmp;
}
def code(x, y, z): tmp = 0 if (y <= -1.6e+35) or not (y <= 58000000.0): tmp = x + 1.0 else: tmp = 1.0 + (x - (y * z)) return tmp
function code(x, y, z) tmp = 0.0 if ((y <= -1.6e+35) || !(y <= 58000000.0)) tmp = Float64(x + 1.0); else tmp = Float64(1.0 + Float64(x - Float64(y * z))); end return tmp end
function tmp_2 = code(x, y, z) tmp = 0.0; if ((y <= -1.6e+35) || ~((y <= 58000000.0))) tmp = x + 1.0; else tmp = 1.0 + (x - (y * z)); end tmp_2 = tmp; end
code[x_, y_, z_] := If[Or[LessEqual[y, -1.6e+35], N[Not[LessEqual[y, 58000000.0]], $MachinePrecision]], N[(x + 1.0), $MachinePrecision], N[(1.0 + N[(x - N[(y * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]
\begin{array}{l}
\\
\begin{array}{l}
\mathbf{if}\;y \leq -1.6 \cdot 10^{+35} \lor \neg \left(y \leq 58000000\right):\\
\;\;\;\;x + 1\\
\mathbf{else}:\\
\;\;\;\;1 + \left(x - y \cdot z\right)\\
\end{array}
\end{array}
(FPCore (x y z) :precision binary64 (if (<= z -2.8e+82) (- x (* y z)) (+ x 1.0)))
double code(double x, double y, double z) {
double tmp;
if (z <= -2.8e+82) {
tmp = x - (y * z);
} else {
tmp = x + 1.0;
}
return tmp;
}
real(8) function code(x, y, z)
real(8), intent (in) :: x
real(8), intent (in) :: y
real(8), intent (in) :: z
real(8) :: tmp
if (z <= (-2.8d+82)) then
tmp = x - (y * z)
else
tmp = x + 1.0d0
end if
code = tmp
end function
public static double code(double x, double y, double z) {
double tmp;
if (z <= -2.8e+82) {
tmp = x - (y * z);
} else {
tmp = x + 1.0;
}
return tmp;
}
def code(x, y, z): tmp = 0 if z <= -2.8e+82: tmp = x - (y * z) else: tmp = x + 1.0 return tmp
function code(x, y, z) tmp = 0.0 if (z <= -2.8e+82) tmp = Float64(x - Float64(y * z)); else tmp = Float64(x + 1.0); end return tmp end
function tmp_2 = code(x, y, z) tmp = 0.0; if (z <= -2.8e+82) tmp = x - (y * z); else tmp = x + 1.0; end tmp_2 = tmp; end
code[x_, y_, z_] := If[LessEqual[z, -2.8e+82], N[(x - N[(y * z), $MachinePrecision]), $MachinePrecision], N[(x + 1.0), $MachinePrecision]]
\begin{array}{l}
\\
\begin{array}{l}
\mathbf{if}\;z \leq -2.8 \cdot 10^{+82}:\\
\;\;\;\;x - y \cdot z\\
\mathbf{else}:\\
\;\;\;\;x + 1\\
\end{array}
\end{array}
(FPCore (x y z) :precision binary64 (if (<= z -8.2e+236) (* y (- z)) (+ x 1.0)))
double code(double x, double y, double z) {
double tmp;
if (z <= -8.2e+236) {
tmp = y * -z;
} else {
tmp = x + 1.0;
}
return tmp;
}
real(8) function code(x, y, z)
real(8), intent (in) :: x
real(8), intent (in) :: y
real(8), intent (in) :: z
real(8) :: tmp
if (z <= (-8.2d+236)) then
tmp = y * -z
else
tmp = x + 1.0d0
end if
code = tmp
end function
public static double code(double x, double y, double z) {
double tmp;
if (z <= -8.2e+236) {
tmp = y * -z;
} else {
tmp = x + 1.0;
}
return tmp;
}
def code(x, y, z): tmp = 0 if z <= -8.2e+236: tmp = y * -z else: tmp = x + 1.0 return tmp
function code(x, y, z) tmp = 0.0 if (z <= -8.2e+236) tmp = Float64(y * Float64(-z)); else tmp = Float64(x + 1.0); end return tmp end
function tmp_2 = code(x, y, z) tmp = 0.0; if (z <= -8.2e+236) tmp = y * -z; else tmp = x + 1.0; end tmp_2 = tmp; end
code[x_, y_, z_] := If[LessEqual[z, -8.2e+236], N[(y * (-z)), $MachinePrecision], N[(x + 1.0), $MachinePrecision]]
\begin{array}{l}
\\
\begin{array}{l}
\mathbf{if}\;z \leq -8.2 \cdot 10^{+236}:\\
\;\;\;\;y \cdot \left(-z\right)\\
\mathbf{else}:\\
\;\;\;\;x + 1\\
\end{array}
\end{array}
(FPCore (x y z) :precision binary64 (+ x 1.0))
double code(double x, double y, double z) {
return x + 1.0;
}
real(8) function code(x, y, z)
real(8), intent (in) :: x
real(8), intent (in) :: y
real(8), intent (in) :: z
code = x + 1.0d0
end function
public static double code(double x, double y, double z) {
return x + 1.0;
}
def code(x, y, z): return x + 1.0
function code(x, y, z) return Float64(x + 1.0) end
function tmp = code(x, y, z) tmp = x + 1.0; end
code[x_, y_, z_] := N[(x + 1.0), $MachinePrecision]
\begin{array}{l}
\\
x + 1
\end{array}
(FPCore (x y z) :precision binary64 x)
double code(double x, double y, double z) {
return x;
}
real(8) function code(x, y, z)
real(8), intent (in) :: x
real(8), intent (in) :: y
real(8), intent (in) :: z
code = x
end function
public static double code(double x, double y, double z) {
return x;
}
def code(x, y, z): return x
function code(x, y, z) return x end
function tmp = code(x, y, z) tmp = x; end
code[x_, y_, z_] := x
\begin{array}{l}
\\
x
\end{array}
herbie shell --seed 2023350
(FPCore (x y z)
:name "Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, B"
:precision binary64
(- (+ x (cos y)) (* z (sin y))))